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Finding the Fourth Proportional to 138,109.34, 206,831.70 and 93,601.05

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Solution

The fourth proportional to 138,109.34, 206,831.70 and 93,601.05 is: 140,176.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,109.34 : 206,831.70 = 93,601.05 : x
  2. Step 2: Convert to fraction form
    138,109.34/206,831.70 = 93,601.05/x
  3. Step 3: Cross multiply
    138,109.34x = 206,831.70 × 93,601.05
  4. Step 4: Simplify right side
    138,109.34x = 19,359,664,293.29
  5. Step 5: Solve for x
    x = 19,359,664,293.29/138,109.34
  6. Step 6: Final answer
    x = 140,176.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.